This assignment is due in class on 30 January or may be uploaded in PDF format to Homework 1 on moodle by 12:45 PM on 30 January.

## Problem 1

Express the following base 10 numbers in 12-bit fixed-point twos-complement representation with 6 integer bits and 6 fraction bits. Some of the numbers cannot be expressed exactly, so give the nearest fixed-point representaion.

- -25.25
- 8.8

## Problem 2

Express the following 12-bit fixed-point twos-complement numbers with 6 integer bits and 6 fraction bits as base 10 decimal numbers.

- 111000111000
- 000011000000

## Problem 3

What is the 32-bit IEEE 754 representation for 42.75?

## Problem 4

If `0x369C0000`

is the 32-bit IEEE 754 representation
of a Java `float`

, what is the floating point number?